Step-by-step explanation:
We can use the ideal gas law to calculate the mass of the N2 gas sample:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant (0.08206 L·atm/mol·K), and T is the temperature.
First, we need to convert the temperature to Kelvin:
T = 50 °C + 273.15 = 323.15 K
Now we can rearrange the ideal gas law to solve for the number of moles:
n = PV/RT
n = (3 atm)(0.6 L)/(0.08206 L·atm/mol·K)(323.15 K)
n = 0.0705 mol
The molar mass of N2 is 28.02 g/mol, so we can calculate the mass of the N2 gas sample:
mass = n × molar mass
mass = 0.0705 mol × 28.02 g/mol
mass = 1.98 g
Therefore, the mass of the N2 gas sample is approximately 1.98 g.